Current Research in Nonlinear Systems (Applied Mathematics)
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Nonlinear systems in applied mathematics refer to models where the relationship between variables is not linear. Unlike linear systems, where changes in input result in proportional changes in output, nonlinear systems can exhibit complex behavior such as chaos, bifurcations, and multiple equilibria. These systems are characterized by equations where variables appear to varying degrees or are involved in products or powers. Examples include population dynamics models, fluid dynamics, and certain economic systems. Understanding these systems is crucial in predicting and controlling behavior in ...
Nonlinear systems in applied mathematics refer to models where the relationship between variables is not linear. Unlike linear systems, where changes in input result in proportional changes in output, nonlinear systems can exhibit complex behavior such as chaos, bifurcations, and multiple equilibria. These systems are characterized by equations where variables appear to varying degrees or are involved in products or powers. Examples include population dynamics models, fluid dynamics, and certain economic systems. Understanding these systems is crucial in predicting and controlling behavior in diverse fields like engineering, biology, and finance, where linear approximations may fall short. This book presents the complex subject of nonlinear systems in the most comprehensible and easy to understand language. It traces the progress of this field and highlights some of its key concepts and applications. Researchers and students in this field will be greatly assisted by this book.
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